Sökning: "Sorina Barza"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Sorina Barza.
1. Some sharp multidimensional integral inequalities
Sammanfattning : .... LÄS MER
2. Weighted multidimensional integral inequalities and applications
Sammanfattning : In this thesis some new weighted integral inequalities for monotone functions in higher dimensions are proved. These results extend previous results in one dimension, and also those in higher dimensions for particular choices of the weights (power weights, etc.). All inequalities are sharp. LÄS MER
3. Forever Young : Convolution Inequalities in Weighted Lorentz-type Spaces
Sammanfattning : This thesis is devoted to an investigation of boundedness of a general convolution operator between certain weighted Lorentz-type spaces with the aim of proving analogues of the Young convolution inequality for these spaces.Necessary and sufficient conditions on the kernel function are given, for which the convolution operator with the fixed kernel is bounded between a certain domain space and the weighted Lorentz space of type Gamma. LÄS MER
4. The Weighted Space Odyssey
Sammanfattning : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. LÄS MER
5. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form
Sammanfattning : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. LÄS MER